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romanna [79]
3 years ago
5

If someone knows the answer please help . Lots of points !

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Given function is,

f(x) = -4(x - 3)² + 1

A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.

    And 4 represents that the parent function is stretched vertically by 4 units.

B). By comparing this equation with the vertex form of the quadratic function,

    f(x) = a(x - h)² + k  

    Here, (h, k) is the vertex of parabola.

    Vertex of the given parabola → (3, 1)

C). Axis of symmetry → x = 3

D). Domain of the given quadratic function → (-∞, ∞)

     Range of the given function → (-∞, 1)

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In the figure below, find the length of AD. Round your answer to the nearest tenth.
goldenfox [79]

Answer:

12.4

Step-by-step explanation:

First you need to find the hypotenuse of the other triangle, because it makes up a necessary side for finding AD. Pythagorean theorem states that

a^2 + b^2 = c^2 where a and b are leg lengths and c is the hypotenuse. For the triangle on the left, you're given 2 legs. So you can substitute those into that formula:

a^2 + b^2 = c^2

(10)^2 + (6)^2 = c^2

100 + 36 = c^2

136 = c^2.

Now take the square root of both sides to isolate c.

11.6619038 = c.

11.6619038 rounds to 11.7 so c = 11.7

Now that you have the second leg length for the triangle on the right, you can find its hypotenuse.

Follow the same process. Substitute your values into the equation and then solve for c:

a^2 + b^2 = c^2

(11.7)^2 + (4)^2 = c^2

136.89 + 16 = c^2

152.89 = c^2

Now find the square root of both sides to isolate c

12.3648696 = c.

12.3648696 rounds to 12.4 so c = 12.4

So the distance of AD is 12.4

4 0
3 years ago
If a right triangle has a side of length 3 and a hypotenuse of length 9, what is the length of the other side
ad-work [718]

Answer:

Step-by-step explanation:

in a right triangle a^2+b^2=c^2,

where a and b are the legs

where c is the hypothenuse

9^2= b^2+3^2

81-9=b^2

b^2=72

b=8.48

5 0
4 years ago
Read 2 more answers
(4 ten thousands) 4,ooo x 10
fredd [130]
40 000 is the answer. hope that helped
3 0
3 years ago
Solve -4x+7y=10;4x-7y=-10 by elimination
Natali [406]

Answer: all solutions

Step-by-step explanation:

all of the numbers cancel out

4 0
4 years ago
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angl
lys-0071 [83]

Answer:

k=29

Step-by-step explanation:

4 0
3 years ago
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